Question 1

Given the coordinates&#58; (1&#44; 2)&#44; (2&#44; 4)&#44; (3&#44; 8)&#44; (4&#44; 16)&#44; is the function linear&#44; quadratic&#44; exponential&#44; or logarithmic?

Accepted Answer

exponential

Answer

quadratic

Answer

linear

Answer

logarithmic

Question 2

Given the table of values&#58; (0&#44; 12)&#44; (1&#44; 10)&#44; (2&#44; 8)&#44; (3&#44; 6)&#44; is the function linear&#44; quadratic&#44; exponential&#44; or logarithmic?

Accepted Answer

linear

Answer

logarithmic

Answer

quadratic

Answer

exponential

Question 3

Given the table of values: (1, 1), (2, 4), (3, 9), (4, 16), is the function linear, quadratic, exponential, or logarithmic?

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Answer

logarithmic

Question 4

Given the table of values&#58; (1&#44; 2)&#44; (2&#44; 3)&#44; (4&#44; 4)&#44; (8&#44; 5)&#44; is the function linear&#44; quadratic&#44; exponential&#44; or logarithmic?

Accepted Answer

logarithmic

Answer

quadratic

Answer

linear

Answer

exponential

Question 5

Given the graph, is the function linear, quadratic, exponential, or log?

Accepted Answer

linear

Answer

quadratic

Answer

exponential

Answer

log

Question 6

Given the graph, is the function linear, quadratic, exponential, or logarithmic?

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Answer

log

Question 7

Given the graph, is the function linear, exponential, quadratic, or logarithmic?

Accepted Answer

exponential

Answer

linear

Answer

quadratic

Answer

log

Question 8

Given the graph, is the function linear, quadratic, exponential, or log?

Accepted Answer

log

Answer

quadratic

Answer

exponential

Answer

linear

Question 9

A tree's height doubles every year. What type of mathematical model best represents the growth of the tree's height?

Accepted Answer

Exponential

Answer

Constant

Answer

Linear

Answer

Quadratic

Question 10

A ball is thrown into the air and its height at any time t seconds can be represented by what type of expression?

Accepted Answer

Quadratic

Answer

Cubic

Answer

Exponential

Answer

Linear

Question 11

The value of a car decreases by 15% each year. Which type of mathematical model best describes the car's value over time?

Accepted Answer

Exponential

Answer

Linear

Answer

Quadratic

Answer

Constant

Question 12

A company's profits increase by $2000 each month after it starts operating. What type of mathematical model best represents the profit over time?

Accepted Answer

Linear

Answer

Exponential

Answer

Quadratic

Answer

Logarithmic

Question 13

If

f(x) = 3x^2 - 5x + 7

, what is

f(2)

?

Accepted Answer

9

Answer

11

Answer

5

Answer

8

Question 14

Find $f\left(5\right)$

Accepted Answer

3

Answer

Not on graph

Answer

0

Answer

2

Question 15

Find $f\left(5\right)$

Accepted Answer

1

Answer

3

Answer

2

Answer

7

Question 16

Evaluate the function

f(x) = 3x^2 - 5x + 7

given by the piecewise definition:

f(2)

Accepted Answer

9

Answer

10

Answer

7

Answer

6

Question 17

Evaluate the function

f(x) = 3x^2 - 5x + 7

given by the piecewise definition:

f(2)

Accepted Answer

5

Answer

10

Answer

1

Answer

3

Question 18

If

f(x) = 3x^2 - 5x + 7

and

f(2)

, what is

f\left(g\left(2\right)\right)

?

Accepted Answer

11

Answer

10

Answer

14

Answer

19

Question 19

Given

f(x) = 3x^2 - 5x + 7

and

f(2)

, what is

f\left(g\left(2\right)\right)

?

Accepted Answer

14

Answer

84

Answer

20

Answer

4

Question 20

If the function

f(x) = 3x^2 - 5x + 7

is transformed to

f(2)

, what transformations have been applied?

Accepted Answer

Horizontal translation of 3 units and vertical translation of 2 units.

Answer

Horizontal translation of 3 units and vertical translation of -2 units.

Answer

Horizontal translation of -3 units and vertical translation of 2 units.

Answer

Horizontal translation of -3 units and vertical translation of -2 units.

Question 21

Describe the transformation on $f\left(5\right)$ : $2f\left(3x\right)$

Accepted Answer

Vertical dilation by SF of $f\left(5\right)$ , horizontal dilation by SF of $2f\left(3x\right)$

Answer

Hrizontal dilation by SF of $f\left(5\right)$ , vertical dilation by SF of $2f\left(3x\right)$

Answer

Vertical dilation by SF of $f\left(5\right)$ , horizontal dilation by SF of $2f\left(3x\right)$

Answer

Vertical dilation by SF of $f\left(5\right)$ , horizontal dilation by SF of $2f\left(3x\right)$

Question 22

Which of the following functions represents the following transformations on $f\left(5\right)$ : vertical dilation by a scale factor of 2, horizontal translation by -3 units.

Accepted Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Question 23

What is the inverse of the linear function

f(x) = 3x^2 - 5x + 7

?

Accepted Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Question 24

Which of the following could be the equation for the following graph?

Accepted Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Question 25

Which could be the equation for the graph?

Accepted Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Question 26

Which of the following equations could represent the graph?

Accepted Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Question 27

If

f(x) = 3x^2 - 5x + 7

, how is this expressed in exponential form?

Accepted Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Question 28

What is the logarithmic form of the exponential equation

f(x) = 3x^2 - 5x + 7

?

Accepted Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Question 29

Convert the logarithmic equation

f(x) = 3x^2 - 5x + 7

to its equivalent exponential form.

Accepted Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Question 30

Which of the following is the exponential form equivalent to the logarithmic equation

f(x) = 3x^2 - 5x + 7

?

Accepted Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Question 31

Which direction will the arrows point if the polynomial has a negative leading coefficient and even degree?

Accepted Answer

Left: Down

Right: Down

Answer

Left: Down

Right: Up

Answer

Left: Up

Right: Down

Answer

Left: Up

Right: Up

Question 32

Which direction will the arrows point on a polynomial with a positive leading coefficient and odd degree?

Accepted Answer

Left: Down

Right: Up

Answer

Left: Up

Right: Down

Answer

Left: Down

Right: Down

Answer

Left: Up

Right: Up

Question 33

Find A and B in the limit statements given the polynomial $f\left(5\right)$

$\lim_{x o-\infty}f\left(x
ight)=A$

$\lim_{x o\infty}f\left(x
ight)=B$

Accepted Answer

$f(x) = 3x^2 - 5x + 7$

$f(2)$

Answer

$f(x) = 3x^2 - 5x + 7$

$f(2)$

Answer

$f(x) = 3x^2 - 5x + 7$

$f(2)$

Answer

$f(x) = 3x^2 - 5x + 7$

$f(2)$

Question 34

What is the average rate of change of the function given the points (2, 3) and (5, 9)?

Accepted Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Question 35

What is the average rate of change of a function between the points (6, -3) and (10, 5)?

Accepted Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Answer

f^{-1}(x) = \frac{x - 3}{2}

Question 36

The function $f\left(5\right)$ represents the height of an object, in feet, at $2f\left(3x\right)$ seconds. The average rate of change over an interval is $3$ . Interpret the meaning of that.

Accepted Answer

The object's height increased by an average 3 feet per second over the interval.

Answer

On average, the number of seconds the object was in the air increased by 3.

Answer

On average, the object's height decreased by 3 feet per second.

Answer

The object's height increased by 3 feet over the interval.

Question 37

Use Desmos to write a linear $f\left(5\right)$ regression model for the following points: (1,7) and (4, 8)

Accepted Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Answer

$f(x) = 3x^2 - 5x + 7$

Question 38

Use Desmos to write a quadratic $f\left(5\right)$ regression equation for the following points: (1, 6), (3, -1), and (5, 12). Find $2f\left(3x\right)$ .

Accepted Answer

2.5

Answer

1.5

Answer

9

Answer

0.84

Question 39

The regression equation $f\left(5\right)$ gives the predicted height of an object at $2f\left(3x\right)$ seconds. How high will the object be at 2.5 seconds?

Accepted Answer

8.5 feet

Answer

-26.5 feet

Answer

59.5 feet

Answer

6 feet

Question 40

The population of a town is modeled by the equation

f(x) = 3x^2 - 5x + 7

, where

f(2)

is the number of years since the population was first measured. What is the population after 4 years?

Accepted Answer

6077

Answer

5250

Answer

5500

Answer

5800

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